Using linear function concepts, the y-intercept of AB is of 11.2.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x,</u> hence, for A(8,0) and B(3,7):
m = (7 - 0)/(3 - 8) = -7/5 = -1.4.
Then:
y = -1.4x + b.
When x = 8, y = 0, hence we use it to find the y-intercept b as follows:
0 = -1.4(8) + b
b = 11.2.
The y-intercept is of 11.2.
More can be learned about linear function concepts at brainly.com/question/24808124
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